The midfielder was released by Arsenal at the end of the 2017-18 season, and has not played a competitive game since October 2016.
Arsenal decided against offering the midfielder a new deal, due to his fitness issues, having been forced to endure 11 operations on his Achilles.
And the Yellow Submarine, with whom he spent four years of his career between 2007 and 2011, making over 240 appearances, has offered him an opportunity to prove his fitness.
It has been suggested that Cazorla could even earn a permanent contract at the club, should he be able to show his worth.
Cazorla also spent time at Alaves earlier this week, and expressed his gratitude to the club for their time.
“I am grateful to Alaves for the facilities they have offered to me,” Cazorla said.
“The facilities here are very good and they’re even doing work to improve them further.
“[The youth sides and I] have had a nice experience. I tried to make sure they enjoyed the experience.”